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Finding the Third Proportional to 150,997.50 and 328,563.75

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Solution

The third proportional to 150,997.50 and 328,563.75 is: 714,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,997.50 : 328,563.75 = 328,563.75 : x
  2. Step 2: Convert to fraction form
    150,997.50/328,563.75 = 328,563.75/x
  3. Step 3: Cross multiply
    150,997.50x = 328,563.75 × 328,563.75
  4. Step 4: Simplify right side
    150,997.50x = 107,954,137,814.06
  5. Step 5: Solve for x
    x = 107,954,137,814.06/150,997.50
  6. Step 6: Final answer
    x = 714,939.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.